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考虑出行者到达时间无差异带的瓶颈模型

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为了弥补Vickrey瓶颈模型及其拓展研究忽视了出行者有限理性特征的缺陷,从而降低瓶颈模型的误差,缓解城市交通拥堵,将通勤者有限理性的时间认识与瓶颈模型相结合.基于出行者对到达时间的感知存在无差异带的假设,建立了考虑出行者到达时间无差异带不对称的瓶颈模型,并对模型进行了出发率分析和均衡解分析.采用数值分析的方法详细推导了均衡出发率、总成本、均衡成本、最大排队长度、全部排队成本等指标.进一步地,将上述新建立的模型扩展到无差异带对称、早到时间无差异带、晚到时间无差异带情形下,同样进行了出发率分析和均衡解分析.通过与基本瓶颈模型相比较,分析了考虑无差异带不对称和3种扩展情形的瓶颈模型中,出行者的出发时间决策和均衡解的性质,最后利用数值算例对结论进行了验证.结果表明:在考虑出行者到达时间无差异带的条件下,总成本、均衡成本、总早到成本、总晚到成本、最大排队长度等指标均变小,而变小的幅度与早到、晚到无差异带的宽度之和有关;通勤者的出发率函数由2段变为3段;通勤高峰期或提前或推迟具体时间由单位早到时间成本、单位晚到时间成本、无差异带的宽度等参数值决定;采用弹性工作制,对应于考虑出行者到达时间无差异带不对称的瓶颈模型,能够均匀高峰期的车流量,从而减少拥堵.
A Bottleneck Model Considering Indifference-zone of Traveler's Arrival Time
In order to remedy the defects of Vickrey bottleneck model and its extension research,which ignore the characteristics of travelers'bounded rationality,so as to reduce the error of bottleneck model and alleviate urban traffic congestion,commuters'bounded rationality time understanding is combined with bottleneck model.Based on the assumption that traveler's perception of arrival time has indifference zone,a bottleneck model considering the asymmetry of traveler's arrival time indifference-zone is established,and the departure rate and equilibrium solution analysis are carried out.The indicators of equilibrium departure rate,total cost,equilibrium cost,maximum queue length and total queue cost are derived in detail by numerical analysis.Furthermore,the new model is extended to the cases of indifference band symmetry,early arrival time indifference band and late arrival time indifference band,and the departure rate analysis and equilibrium solution analysis are performed as well.By comparing with the basic bottleneck model,the properties of traveler's departure time decision and equilibrium solution are analyzed in the bottleneck model considering indifference-zone asymmetry and 3 expansion cases.Finally,the conclusions are verified by numerical examples.The result shows that(1)the total cost,equilibrium cost,total early arrival cost,total late arrival cost and maximum queue length all become smaller under the condition of arrival time indifference-zone,and the decreasing amplitude is related to the sum of the widths of arrival time indifference-zone;(2)the commuter departure rate function changes from 2 stages to 3 stages;(3)the commuting peak may be advanced or delayed,and the specific time is determined by the unit early arrival time cost,unit late arrival time cost,width of indifference-zone and other parameters;(4)the use of flexible working system can homogenize peak traffic flow,thereby reducing congestion.

urban trafficdeparture time decisionnumerical analysisbottleneck modelbounded rationality

任姿蓉、程琳、杜明洋、宋茂灿、张晨皓

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东南大学 交通学院,江苏 南京 211189

城市交通 出发时间选择 数值分析 瓶颈模型 有限理性

国家自然科学基金国家自然科学基金

5217231852131203

2024

公路交通科技
交通运输部公路科学研究院

公路交通科技

CSTPCD北大核心
影响因子:1.007
ISSN:1002-0268
年,卷(期):2024.41(4)
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